Heat transfer coefficients in the mould were determined by the inverse method and they are related to both process conditions and carbon equivalents of steels. Experimental data were obtained from an industrial plant by temperatures measured in moulds of the continuous casting machine by thermocouples placed in the mould wall in known positions. The temperatures are compared to profiles of simulations by the numerical model of both solidification and heat transfer processes previously examined. As a result, the numerical model calculates the heat transfer coefficients in the metal/mould interface for heats cast with different process parameters. The results make possible the determination of expressions for the calculation of the interfacial metal/ mould heat transfer coefficients that include the effects of steels grades, mould faces, casting speed, mould taper, mould section and pouring temperatures for a range of process parameters.

The dendrite arm spacing and grain size in continuous casting has been studied by mathematical modelling and experimental measurements. Two in-house tools have been used in the study. The heat transfer is calculated by the model called TEMPSIMU and the solidification as well as the microstructural phenomena by the thermodynamic-kinetic software called IDS. The models are validated by comparison the calculated results with experiments from steel plants. In continuous casting, the solidification structure is also influenced by process parameters. In this study the effect casting speed, superheat and secondary cooling on arm spacings and grain size is also studied. The in-house models and the obtained results are presented in this paper. Using the developed models, the heat transfer and microstructure can be controlled more accurately.

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